Answer:
The radius of circle B is 6 times greater than the radius of circle A
The area of circle B is 36 times greater than the area of circle A
Step-by-step explanation:
we have
<em>Circle A</em>
The radius of circle A is
-----> the radius is half the diameter
<em>Circle B</em>
Compare the radius of both circles
The radius of circle B is six times greater than the radius of circle A
Remember that , if two figures are similar, then the ratio of its areas is equal to the scale factor squared
All circles are similar
In this problem the scale factor is 6
so
therefore
The area of circle B is 36 times greater than the area of circle A
Answer:
y = (-4/3)x + 4
Step-by-step explanation:
Let y = mx + b, be the equation of the line in slope intercept form where we need to find m and b.
Perpendicular to y = (3/4)x - 5, means that m = - (1 / (3/4) ) = - 4/3
So, at this point, y = (-4/3)x + b.
Crossing the x - axis at 3 means that (3, 0) is a point on the line, where we note that x=3 and y=0.
Thus, we plug in these values into the equation y = (-4/3)x + b, to get
0 = (-4/3)(3) + b
0 = -4 + b, so that
b = 4.
Hence, the answer is:
y = (-4/3)x + 4
Answer:
114.59155
Step-by-step explanation:
I think 115 min because its just 23 x 5 so you just multiply that to get the asnwer
Answer:
CE = 3
Step-by-step explanation:
Given:
AE = 3
EB = 4
CE = x
ED = x + 1
Required:
CE
Solution:
First we need to determine the value of x by generating am equation as follows:
CE × ED = AE × EB (Interacting Chords Theorem)
Substitute
x × (x + 1) = 3 × 4
x² + x = 12
Subtract 12 from each side
x² + x - 12 = 12 - 12
x² + x - 12 = 0
Factorize to find the value of x
x² + 4x - 3x - 12 = 0
x(x + 4) -3(x + 4) = 0
(x - 3)(x + 4) = 0
x - 3 = 0
x = 3
Or
x + 4 = 0
x = -4
Let's use the positive value of x
CE = x = 3
